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Two parallel lines are intersected by a transversal. If one of the interior angles is 57°, what is the measure of its co-interior angle?

  • A.57°
  • B.114°
  • C.123°
  • D.33°

Answer: C

Co-interior angles (or consecutive interior angles) are on the same side of the transversal and between the parallel lines. They are supplementary, meaning their sum is 180°.

Let the other co-interior angle be x.

x + 57° = 180°

x = 180° - 57° = 123°.

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